561075840 has 384 divisors, whose sum is σ = 2138572800. Its totient is φ = 134701056.

The previous prime is 561075817. The next prime is 561075887. The reversal of 561075840 is 48570165.

561075840 is a `hidden beast` number, since 561 + 0 + 7 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 561075795 and 561075804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4417857 + ... + 4417983.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^561075840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

561075840 is an abundant number, since it is smaller than the sum of its proper divisors (1577496960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

561075840 is a wasteful number, since it uses less digits than its factorization.

561075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 561075840 is about 23687.0394942044. The cubic root of 561075840 is about 824.7845608253.

The spelling of 561075840 in words is "five hundred sixty-one million, seventy-five thousand, eight hundred forty".